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Mechanical Design

22 tools in 13 sections. Each tool page shows the method with the numbers substituted, its references and the published examples it reproduces.

Shafts 2

  • Shaft Design Stress, fatigue safety factor, deflection and critical speed of a stepped shaft on two bearings carrying gears, pulleys or couplings: the radial loads in two planes give…
  • Interference and Press Fit Contact pressure, stresses and holding capacity of a hub shrunk or pressed on a solid or hollow shaft by Lamé's thick-cylinder solution: the pressure from the diametral…

Gears 2

  • Gear Stress Bending and contact stress of a spur gear pair by the Lewis equation with the Barth velocity factor and by the AGMA 2001-D04 rating method as presented in Shigley's…
  • Spur and Helical Gear Geometry Involute geometry of a spur or helical gear pair, external or internal, from the normal module (or diametral pitch), the tooth numbers, the normal pressure angle, the…

Bearings 1

  • Bearing Life Rolling-bearing rating life per ISO 281 / ABMA 9 and 11 as presented in Shigley's Mechanical Engineering Design, Chapter 11: the equivalent radial load from the radial…

Springs 1

  • Spring Design Helical compression, extension and torsion springs by the method of Shigley's Mechanical Engineering Design, Chapter 10: wire tensile strength from the ASTM wire-size…

Fasteners and Power Screws 2

  • Bolt Preload and Torque Shigley's bolted-joint method for a preloaded tension joint: the tensile-stress area and proof load of a Unified or ISO thread from the standard tables, the preload as a…
  • Thread Engagement and Strength Strength of a threaded joint from the public-domain NBS Handbook H28 (Screw-Thread Standards for Federal Services, 1969): the basic profile and the tensile stress area…

Pressure Vessels 2

  • Pressure Vessel Stresses and code thickness of a cylindrical or spherical pressure vessel in three parts chosen by checkboxes: the thin-wall membrane stresses (hoop and longitudinal,…
  • Bolted Flange Joint Design check of a bolted flanged joint with a ring-type gasket by the method of ASME Boiler and Pressure Vessel Code Section VIII Division 1 Mandatory Appendix 2 (the…

Tolerances 2

  • Tolerance Stack-Up One-dimensional tolerance stack-up of a dimension chain: each dimension enters with its nominal, its plus and minus tolerances, its direction along the loop, its…
  • Limits, Fits and Tolerances The ISO system of limits and fits computed from the published formulas of ISO 286-1: the standard tolerance factor i = 0.45 ∛D + 0.001 D of the basic size step, the IT…

Mass Properties 1

  • Mass Properties from BOM Mass, centre of gravity and inertia tensor of an assembly from its bill of materials: each row is a part with a quantity, a shape (point mass, box, solid cylinder, tube,…

Vibration 2

  • SDOF Vibration Single-degree-of-freedom spring–mass–damper analysis: natural frequency, critical damping and damping ratio from the mass (or weight), stiffness (or natural frequency)…
  • Multi-DOF Vibration and Critical Speed Natural frequencies, mode shapes and critical speeds of lumped systems: a chain of masses, springs and dashpots with fixed or free ends (eigen-solve of K x = ω² M x by…

Acoustics 2

  • Noise Exposure Occupational noise dose and 8-hour time-weighted average from a list of exposure segments or dosimeter readings under the OSHA permissible exposure limit of 29 CFR…
  • Room Acoustics and Noise Control Three sub-tools on one page. Room reverberation: the octave-band absorption of every surface (coefficients from the UFC 3-450-01 table of building materials or entered),…

Brakes, Clutches and Belts 2

Machining and Manufacturing 2

  • Machining Parameters Cutting speed, spindle speed, removal rate, cutting time, power, force and torque of a turning, milling or drilling cut; the manual's recommended speed range for the…
  • Sheet Metal Bend Allowance and Press Tonnage Flat-pattern layout of a multi-bend sheet-metal part (bend allowance, setback, bend deduction, flats and total developed width by the FAA-H-8083-31B / AC 43.13-1B method…

Lubrication and Wear 1

  • Journal Bearing and Wear Hydrodynamic analysis of a full plain journal bearing by a finite-difference solution of the Reynolds equation on the unwrapped oil film, with the Reynolds…